Suppose g(a) 0.3 sin(46a 10). a. What is the argument of the sine function? (Ent
ID: 3018982 • Letter: S
Question
Suppose g(a) 0.3 sin(46a 10). a. What is the argument of the sine function? (Enter an expression.) Preview b. The argument of the sine function represents what quantity? Oangle measure (in radians) Onumber of seconds elapsed Oradius length Ohorizontal distance to the right of the vertical diameter (measured in radius lengths) Overtical distance above the horizontal diameter (measured in radius lengths) c. For the value of sine to vary through a complete cycle of its outputs, the value of the argument must increase from 0 to Preview d. For the value of 46a-10 = 0, the value of a must equal Preview e. For the value of 46a-10 2 the value of a must equal f. For the value of sine to vary through a complete cycle of its outputs, the value of the input of g must vary by units Preview g. What is the period of the function g? Preview Hint: Consider the function g(z 3) 2+6. We say that x is the input to g and z3 is the argument of g.Explanation / Answer
g(a) = 0.3*sin(46a - 10)
a) Argument = 46a – 10
b) Angle measure (in radians)
c) 0 to pi/2
d) 46a – 10 = 0 ====> a = 10/46 = 5/23
e) 46a – 10 = 2pi ======> a = (2pi - 10)/46
f) 0.3 units
g) Period = 2pi/46 = pi/23